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Finding the Fourth Proportional to 210,267.56, 290,166.68 and 119,623.31

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Solution

The fourth proportional to 210,267.56, 290,166.68 and 119,623.31 is: 165,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,267.56 : 290,166.68 = 119,623.31 : x
  2. Step 2: Convert to fraction form
    210,267.56/290,166.68 = 119,623.31/x
  3. Step 3: Cross multiply
    210,267.56x = 290,166.68 × 119,623.31
  4. Step 4: Simplify right side
    210,267.56x = 34,710,698,840.61
  5. Step 5: Solve for x
    x = 34,710,698,840.61/210,267.56
  6. Step 6: Final answer
    x = 165,078.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.